Sample Round
| Team on Left | Team on Right |
| L | R | ||
| [1] |
The edges of a rectangular box are 3, 4, and 5 inches, respectively. What is the surface area of the
box?
Ans. 94 sq. in. |
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| [2] |
Factor completely the polynomial 4 x2 + x - 3.
Ans. (4x - 3)(x +1) |
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ROUND 1 |
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| [3] |
A trapezoid has bases of lengths 4 and 6, respectively. If its height is 5, what is its area?
Ans. 25 |
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| [4] |
What is the probability of randomly picking, without replacement, 2 red balls out of a bin of 4 red and
5 white balls?
Ans. 1/6 |
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| [5] |
What is the sum of the odd numbers from 1 to 19, inclusive?
Ans. 100 |
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| [6] |
What is the highest power of 3 that divides 10! ?
Ans. 4 |
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| [7] |
What is the area of the triangle bounded by the coordinate axes and the line y = x + 4?
Ans. 8 |
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| [8] |
How many faces has a tetrahedron?
Ans. 4 |
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| [9] |
What is the length of the hypotenuse of the right triangle with legs of length 2 and 4?
Ans. 2 |
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| [10] |
Who is credited with the discovery of gravity?
Ans. Isaac Newton |
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| [11] |
Which is larger, pi/2, 2e/3, or the square root of 2?
Ans. 2e/3 |
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| [12] |
Who is famous for giving the first accurate mathematical model of our solar system, and in what century
was he born?
Ans. Johannes Kepler, 16th century |
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| [13] |
An open box of length L, width W, and height H is to be constructed. The square foot cost of the
material for the base is $.60 and the material for the sides is $.20. Express the cost in terms of L if
W = 2H and L = 2W.
Ans. Cost = .315 L2 dollars |
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| [14] |
Question
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| [15] |
Question
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| [16] |
Question
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| [17] |
Question
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